Mathematical Software (TOMS)


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ACM Transactions on Mathematical Software (TOMS), Volume 24 Issue 3, Sept. 1998

Algorithm 783: Pcp2Nurb—smooth free-form surfacing with linearly trimmed bicubic B-splines
Jörg Peters
Pages: 261-267
DOI: 10.1145/292395.292399
Unrestricted control polyhedra facilitate modeling free-form surfaces of arbitrary topology and local patch-layout by allowing n-sided, possibly nonplanar, facets and m-valent vertices. By cutting off edges and...

GEMM-based level 3 BLAS: high-performance model implementations and performance evaluation benchmark
Bo Kågström, Per Ling, Charles van Loan
Pages: 268-302
DOI: 10.1145/292395.292412
The level 3 Basic Linear Algebra Subprograms (BLAS) are designed to perform various matrix multiply and triangular system solving computations. Due to the complex hardware organization of advanced computer architectures the development of...

Algorithm 784: GEMM-based level 3 BLAS: portability and optimization issues
Bo Kågström, Charles van Loan
Pages: 303-316
DOI: 10.1145/292395.292426
This companion article discusses portability and optimization issues of the GEMM-based level 3 BLAS model implementations and the performance evaluation benchmark. All software comes in all four data types (single- and double-precision, real and...

Algorithm 785: a software package for computing Schwarz-Christoffel conformal transformation for doubly connected polygonal regions
Chenglie Hu
Pages: 317-333
DOI: 10.1145/292395.291204
A software package implementing Schwarz-Christoffel Conformal transformation (or mapping) of doubly connected polygonal regions is fully described in this article from mathematical, numerical, and practical perspectives. The package solves the...

Remark on algorithm 706: DCUTRI—an algorithm for adaptive cubature over a collection of triangles
Terje O. Espelid
Pages: 334-335
DOI: 10.1145/292395.291205
We present corrections to Algorthm 706 (ACM Trans. Math. Softw. 18, 3, Sept. 1992, pages 329–342; CALGO supplement 123)....

Remark on algorithm 622: a simple macroprocessor
Stewart A. Levin
Pages: 336-340
DOI: 10.1145/292395.292448
A number of updates to the macroprocessor are described that bring the code into line with the Fortran 77 standard. This is followed by an outline of how the macroprocessor was used for the rapid porting of geophysical software from a 64-bit...

The Monty Python method for generating random variables
George Marsaglia, Wai Wan Tsang
Pages: 341-350
DOI: 10.1145/292395.292453
We suggest an interesting and fast method for generating normal, exponential, t, von Mises, and certain other important random variables used in Monte Carlo studies. The right half of a symmetric density is cut into pieces, then, using simple...

Certification of algorithm 734: a Fortran 90 code for unconstrained nonlinear minimization
Tim Hopkins
Pages: 351-354
DOI: 10.1145/292395.292460
A Fortran 90 Code for Unconstrained Nonlinear Minimization (ACM Trans. Math. Softw. 20, 3 (Sept. 1994), pages 354-372; CALGO Supplement 131) was ported to a number of compiler-platform combinations. The necessary changes to the...

Remark on algorithm 726: ORTHPOL—A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
Walter Gautschi
Pages: 355-356
DOI: 10.1145/292395.292467